摘要翻译:
本文综述了复代数簇的Atiyah-Meyer型和特征类的Hodge理论公式,并导出了一些新的有趣的应用。我们也给出了Chern-Hirzebruch-Serre签名公式奇异设置的各种推广。
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英文标题:
《Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative
property》
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作者:
Laurentiu G. Maxim, Joerg Schuermann
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Algebraic Topology 代数拓扑
分类描述:Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论,同调代数,流形的代数处理
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英文摘要:
In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for genera and characteristic classes of complex algebraic varieties, and derive some new and interesting applications. We also present various extensions to the singular setting of the Chern-Hirzebruch-Serre signature formula.
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PDF链接:
https://arxiv.org/pdf/0707.0129